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Finding the Fourth Proportional to 414,789.88, 622,275.56 and 134,335.48

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Solution

The fourth proportional to 414,789.88, 622,275.56 and 134,335.48 is: 201,532.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,789.88 : 622,275.56 = 134,335.48 : x
  2. Step 2: Convert to fraction form
    414,789.88/622,275.56 = 134,335.48/x
  3. Step 3: Cross multiply
    414,789.88x = 622,275.56 × 134,335.48
  4. Step 4: Simplify right side
    414,789.88x = 83,593,686,044.87
  5. Step 5: Solve for x
    x = 83,593,686,044.87/414,789.88
  6. Step 6: Final answer
    x = 201,532.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.